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Introduction to Differential Equations Using Sage

David Joyner and Marshall Hampton’s lucid textbook explains differential equations using the free and open-source mathematical software Sage. Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping famed mathematician William Stein turn the program into a usable and popular choice. Introduction to Differential Equations Using Sage extends Stein's work by creating a classroom tool that allows both differential equations and Sage to be taught concurrently. It’s a creative and forward-thinking approach to math instruction. Topics include: • First-Order Differential Equations • Incorporation of Newtonian Mechanics• Second-Order Differential Equations• The Annihilator Method• Using Linear Algebra with Differential Equations• Nonlinear Systems• Partial Differential Equations• Romeo and Juliet

Introduction to Differential Equations Using Sage extends Stein's work by creating a classroom tool that allows both differential equations and Sage to be taught concurrently.

An Introduction to Differential Equations and Their Applications

This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more.

Introduction to Partial Differential Equations

From Fourier Series to Boundary-Value Problems

The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.

The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.

Introduction to Partial Differential Equations with Applications

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences.

Introduction to Partial Differential Equations

Designed for use in a 1-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure. Topics include basic concepts, Fourier series, 2nd-order partial differential equations, wave equation, potential equation, heat equation, and more. Includes exercises. 1961 edition.

Designed for use in a 1-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure ...

INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION

This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students’ understanding of the subject. The book also discusses in sufficient detail the qualitative, the quantitative, and the approximation techniques, linear equations with variable and constants coefficients, regular singular points, and homogeneous equations with analytic coefficients. Finally, it explains Riccati equation, boundary value problems, the Sturm–Liouville problem, Green’s function, the Picard’s theorem, and the Sturm–Picone theorem. The text is supported by a number of worked-out examples to make the concepts clear, and it also provides a number of exercises help students test their knowledge and improve their skills in solving differential equations. The book is intended to serve as a text for the postgraduate students of mathematics and applied mathematics. It will also be useful to the candidates preparing to sit for the competitive examinations such as NET and GATE.

This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations.

An Introduction to Ordinary Differential Equations

A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.

A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.

Reading Comprehension Research and Testing in the U.S.

Undercurrents of Race, Class, and Power in the Struggle for Meaning

This book challenges traditional, sanctioned, and official histories of reading comprehension by examining how ideological and cultural hegemony work to reproduce dominant ideologies through education in general and reading comprehension research and testing specifically. Willis analyzes the ideological and cultural foundations that underpin concepts, theories, research, tests, and interpretations, and connects these to the broader social and political contexts within U.S. history in which reading comprehension research and testing have evolved. The reconstruction of a history of reading comprehension research and testing in this way demystifies past and current assumptions about the interconnections among researchers, reading comprehension research, and standardized reading comprehension tests. A promising vision of the future of reading comprehension research and testing emerges–one that is more complex, multidimensional, inclusive, and socially just. Reading Comprehension Research and Testing in the U.S. aims to revolutionize how reading comprehension is conceived, theorized, tested, and interpreted for all children. This is a critically relevant volume for educational researchers, teacher educators, school administrators, teachers, policy makers, and all those concerned with school literacy and educational equity.

The national reading research agenda is informed by a history of reading
comprehension research and testing in the United States and other English-
speaking countries. Although the illusion of progress is promoted among reading
 ...

How to Write a Biography

Learn how to record interesting stories from the lives of real people.

Write the title “What I Know” at the top of the page . Below the title, write facts you
already know about your subject's life. On a second page, write the title “What I
Want to Know .” 4 . Below the title, write what you want to learn from the interview
.

How to Write a How To

New addition to the award winning Language Arts Explorer Jr series, this titles teaches students how to write a "how to" essay.

Library of Congress Cataloging-in-Publication Data Minden, Cecilia. How to write
a how-to/by Cecilia Minden and Kate Roth. p. cm.—(Language arts explorer
junior) Includes bibliographical references and index. ISBN 978-1-61080-307-6 (
lib.